Movable algebraic singularities of second-order ordinary differential equations
نویسندگان
چکیده
منابع مشابه
Movable algebraic singularities of second-order ordinary differential equations
Any nonlinear equation of the form y′′ = ∑N n=0 an(z)y n has a (generally branched) solution with leading order behaviour proportional to (z − z0) about a point z0, where the coefficients an are analytic at z0 and aN (z0) 6= 0. We consider the subclass of equations for which each possible leading order term of this form corresponds to a one-parameter family of solutions represented near z0 by a...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2009
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.3068414